What is the integral from pi/4 to pi of cos(x) ?

The integral from pi/4 to pi of cos(x) is -1/(sqrt(2))

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integral from pi/4 to pi of cos(x)

\int_{\frac{π}{4}}^{π} cos (x) d x

- \frac{1}{2}

Decimal Notation

- 0.70710 \dots

Solution steps

\int_{\frac{π}{4}}^{π} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= [sin (x)]_{\frac{π}{4}}^{π}

Compute the boundaries:

- \frac{1}{2}

= - \frac{1}{2}

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\int_{99}^{100} (x^{2} + 1) d x

\int_{x}^{2} \frac{1}{2} d y

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\int_{0}^{\frac{π}{3}} \frac{4 sin ( θ )}{1 - 4 cos ( θ )} d θ

What is the integral from pi/4 to pi of cos(x) ?
The integral from pi/4 to pi of cos(x) is -1/(sqrt(2))